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Finding the Fourth Proportional to 1,609.92, 2,411.09 and 785.61

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Solution

The fourth proportional to 1,609.92, 2,411.09 and 785.61 is: 1,176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.92 : 2,411.09 = 785.61 : x
  2. Step 2: Convert to fraction form
    1,609.92/2,411.09 = 785.61/x
  3. Step 3: Cross multiply
    1,609.92x = 2,411.09 × 785.61
  4. Step 4: Simplify right side
    1,609.92x = 1,894,176.41
  5. Step 5: Solve for x
    x = 1,894,176.41/1,609.92
  6. Step 6: Final answer
    x = 1,176.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.